Spectral imaging based on 2D diffraction patterns and a regularization model
| Autor: | Max Nimmer, Gabriele Steidl, Andreas Wuttig, Rainer Riesenberg |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Diffraction
Point spread function medicine.medical_specialty Multispectral image Image processing spectral imaging 02 engineering and technology monochromatic image 01 natural sciences Regularization (mathematics) 010309 optics Superposition principle 020210 optoelectronics & photonics Optics 0103 physical sciences 0202 electrical engineering electronic engineering information engineering medicine Physics business.industry Atomic and Molecular Physics and Optics Spectral imaging multispectral image Monochromatic color business Algorithm |
| DOI: | 10.34657/21 |
| Popis: | We present a variational approach to reconstruct a multispectral image from an array of diffraction patterns captured in one monochromatic image. The mathematical model relies on the superposition of wavelength dependent calibration diffraction patterns and a spectral regularization with second order differences. The necessary preprocessing steps which influence the mathematical setting are discussed in detail. For computing a minimizer of our model we propose an active set method with model specific modifications. We validate our approach by experimental results for spectra within the range of 400 nm to 700 nm. |
| Databáze: | OpenAIRE |
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